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- W4287083027 abstract "We prove uniform parabolic Holder estimates of De Giorgi-Nash-Moser type for sequences of minimizers of the functionals [ mathcal{E}_varepsilon(W) = int_0^infty frac{e^{- t/varepsilon}}{varepsilon} bigg{ int_{mathbb{R}_+^{N+1}} y^a left( varepsilon|partial_t W|^2 + |nabla W|^2 right) dX + int_{mathbb{R}^N times{0}} Phi(w) dx bigg}dt, qquad varepsilon in (0,1) ] where $a in (-1,1)$ is a fixed parameter, $mathbb{R}_+^{N+1}$ is the upper half-space and $dX = dxdy$. As a consequence, we deduce the existence and Holder regularity of weak solutions to a class of weighted nonlinear Cauchy-Neumann problems arising in combustion theory and fractional diffusion." @default.
- W4287083027 created "2022-07-25" @default.
- W4287083027 creator A5056021577 @default.
- W4287083027 date "2021-07-07" @default.
- W4287083027 modified "2023-10-16" @default.
- W4287083027 title "On the existence and Holder regularity of solutions to some nonlinear Cauchy-Neumann problems" @default.
- W4287083027 doi "https://doi.org/10.48550/arxiv.2107.03308" @default.
- W4287083027 hasPublicationYear "2021" @default.
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